query-id stringlengths 41 43 | corpus-id stringlengths 40 45 | score int64 1 1 |
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NaturalProofs_Trench_Reference_11_contents | NaturalProofs_Trench_Reference_theorem_10 | 1 |
NaturalProofs_Trench_Reference_12_contents | NaturalProofs_Trench_Reference_theorem_10 | 1 |
NaturalProofs_Trench_Reference_12_contents | NaturalProofs_Trench_Reference_theorem_11 | 1 |
NaturalProofs_Trench_Reference_39_contents | NaturalProofs_Trench_Reference_theorem_34 | 1 |
NaturalProofs_Trench_Reference_39_contents | NaturalProofs_Trench_Reference_theorem_35 | 1 |
NaturalProofs_Trench_Reference_17_contents | NaturalProofs_Trench_Reference_theorem_16 | 1 |
NaturalProofs_Trench_Reference_26_contents | NaturalProofs_Trench_Reference_theorem_16 | 1 |
NaturalProofs_Trench_Reference_26_contents | NaturalProofs_Trench_Reference_theorem_24 | 1 |
NaturalProofs_Trench_Reference_26_contents | NaturalProofs_Trench_Reference_theorem_16 | 1 |
NaturalProofs_Trench_Reference_27_contents | NaturalProofs_Trench_Reference_theorem_26 | 1 |
NaturalProofs_Trench_Reference_27_contents | NaturalProofs_Trench_Reference_theorem_26 | 1 |
NaturalProofs_Trench_Reference_29_contents | NaturalProofs_Trench_Reference_definition_313 | 1 |
NaturalProofs_Trench_Reference_29_contents | NaturalProofs_Trench_Reference_theorem_14 | 1 |
NaturalProofs_Trench_Reference_29_contents | NaturalProofs_Trench_Reference_theorem_28 | 1 |
NaturalProofs_Trench_Reference_30_contents | NaturalProofs_Trench_Reference_theorem_244 | 1 |
NaturalProofs_Trench_Reference_30_contents | NaturalProofs_Trench_Reference_theorem_28 | 1 |
NaturalProofs_Trench_Reference_30_contents | NaturalProofs_Trench_Reference_theorem_21 | 1 |
NaturalProofs_Trench_Reference_64_contents | NaturalProofs_Trench_Reference_theorem_35 | 1 |
NaturalProofs_Trench_Reference_35_contents | NaturalProofs_Trench_Reference_theorem_34 | 1 |
NaturalProofs_Trench_Reference_43_contents | NaturalProofs_Trench_Reference_theorem_35 | 1 |
NaturalProofs_Trench_Reference_43_contents | NaturalProofs_Trench_Reference_theorem_32 | 1 |
NaturalProofs_Trench_Reference_45_contents | NaturalProofs_Trench_Reference_theorem_1 | 1 |
NaturalProofs_Trench_Reference_57_contents | NaturalProofs_Trench_Reference_theorem_50 | 1 |
NaturalProofs_Trench_Reference_57_contents | NaturalProofs_Trench_Reference_theorem_50 | 1 |
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NaturalProofs_Trench_Reference_57_contents | NaturalProofs_Trench_Reference_theorem_56 | 1 |
NaturalProofs_Trench_Reference_249_contents | NaturalProofs_Trench_Reference_theorem_274 | 1 |
NaturalProofs_Trench_Reference_249_contents | NaturalProofs_Trench_Reference_theorem_50 | 1 |
NaturalProofs_Trench_Reference_249_contents | NaturalProofs_Trench_Reference_theorem_248 | 1 |
NaturalProofs_Trench_Reference_249_contents | NaturalProofs_Trench_Reference_theorem_50 | 1 |
NaturalProofs_Trench_Reference_56_contents | NaturalProofs_Trench_Reference_theorem_53 | 1 |
NaturalProofs_Trench_Reference_56_contents | NaturalProofs_Trench_Reference_theorem_54 | 1 |
NaturalProofs_Trench_Reference_56_contents | NaturalProofs_Trench_Reference_theorem_47 | 1 |
NaturalProofs_Trench_Reference_59_contents | NaturalProofs_Trench_Reference_theorem_51 | 1 |
NaturalProofs_Trench_Reference_59_contents | NaturalProofs_Trench_Reference_theorem_58 | 1 |
NaturalProofs_Trench_Reference_59_contents | NaturalProofs_Trench_Reference_theorem_23 | 1 |
NaturalProofs_Trench_Reference_59_contents | NaturalProofs_Trench_Reference_theorem_54 | 1 |
NaturalProofs_Trench_Reference_59_contents | NaturalProofs_Trench_Reference_theorem_56 | 1 |
NaturalProofs_Trench_Reference_59_contents | NaturalProofs_Trench_Reference_theorem_24 | 1 |
NaturalProofs_Trench_Reference_76_contents | NaturalProofs_Trench_Reference_theorem_75 | 1 |
NaturalProofs_Trench_Reference_68_contents | NaturalProofs_Trench_Reference_theorem_51 | 1 |
NaturalProofs_Trench_Reference_68_contents | NaturalProofs_Trench_Reference_theorem_51 | 1 |
NaturalProofs_Trench_Reference_68_contents | NaturalProofs_Trench_Reference_theorem_58 | 1 |
NaturalProofs_Trench_Reference_68_contents | NaturalProofs_Trench_Reference_theorem_63 | 1 |
NaturalProofs_Trench_Reference_68_contents | NaturalProofs_Trench_Reference_theorem_65 | 1 |
NaturalProofs_Trench_Reference_68_contents | NaturalProofs_Trench_Reference_theorem_64 | 1 |
NaturalProofs_Trench_Reference_70_contents | NaturalProofs_Trench_Reference_theorem_55 | 1 |
NaturalProofs_Trench_Reference_71_contents | NaturalProofs_Trench_Reference_theorem_16 | 1 |
NaturalProofs_Trench_Reference_73_contents | NaturalProofs_Trench_Reference_theorem_72 | 1 |
NaturalProofs_Trench_Reference_73_contents | NaturalProofs_Trench_Reference_theorem_72 | 1 |
NaturalProofs_Trench_Reference_73_contents | NaturalProofs_Trench_Reference_theorem_71 | 1 |
NaturalProofs_Trench_Reference_73_contents | NaturalProofs_Trench_Reference_theorem_72 | 1 |
NaturalProofs_Trench_Reference_73_contents | NaturalProofs_Trench_Reference_theorem_72 | 1 |
NaturalProofs_Trench_Reference_75_contents | NaturalProofs_Trench_Reference_theorem_72 | 1 |
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NaturalProofs_Trench_Reference_91_contents | NaturalProofs_Trench_Reference_theorem_83 | 1 |
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NaturalProofs_Trench_Reference_93_contents | NaturalProofs_Trench_Reference_definition_328 | 1 |
NaturalProofs_Trench_Reference_93_contents | NaturalProofs_Trench_Reference_theorem_90 | 1 |
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NaturalProofs_Trench_Reference_89_contents | NaturalProofs_Trench_Reference_theorem_86 | 1 |
NaturalProofs_Trench_Reference_89_contents | NaturalProofs_Trench_Reference_theorem_88 | 1 |
NaturalProofs_Trench_Reference_98_contents | NaturalProofs_Trench_Reference_theorem_89 | 1 |
NaturalProofs_Trench_Reference_99_contents | NaturalProofs_Trench_Reference_theorem_83 | 1 |
NaturalProofs_Trench_Reference_99_contents | NaturalProofs_Trench_Reference_definition_329 | 1 |
NaturalProofs_Trench_Reference_100_contents | NaturalProofs_Trench_Reference_theorem_99 | 1 |
NaturalProofs_Trench_Reference_101_contents | NaturalProofs_Trench_Reference_theorem_56 | 1 |
NaturalProofs_Trench_Reference_101_contents | NaturalProofs_Trench_Reference_theorem_100 | 1 |
NaturalProofs_Trench_Reference_101_contents | NaturalProofs_Trench_Reference_theorem_100 | 1 |
NaturalProofs_Trench_Reference_104_contents | NaturalProofs_Trench_Reference_theorem_103 | 1 |
NaturalProofs_Trench_Reference_104_contents | NaturalProofs_Trench_Reference_theorem_103 | 1 |
NaturalProofs_Trench_Reference_280_contents | NaturalProofs_Trench_Reference_theorem_42 | 1 |
NaturalProofs_Trench_Reference_280_contents | NaturalProofs_Trench_Reference_theorem_103 | 1 |
NaturalProofs_Trench_Reference_280_contents | NaturalProofs_Trench_Reference_theorem_277 | 1 |
NaturalProofs_Trench_Reference_280_contents | NaturalProofs_Trench_Reference_theorem_103 | 1 |
NaturalProofs_Trench_Reference_285_contents | NaturalProofs_Trench_Reference_theorem_123 | 1 |
NaturalProofs_Trench_Reference_285_contents | NaturalProofs_Trench_Reference_theorem_106 | 1 |
NaturalProofs_Trench_Reference_285_contents | NaturalProofs_Trench_Reference_theorem_277 | 1 |
NaturalProofs_Trench_Reference_110_contents | NaturalProofs_Trench_Reference_theorem_99 | 1 |
NaturalProofs_Trench_Reference_112_contents | NaturalProofs_Trench_Reference_theorem_111 | 1 |
NaturalProofs_Trench_Reference_114_contents | NaturalProofs_Trench_Reference_theorem_113 | 1 |
NaturalProofs_Trench_Reference_114_contents | NaturalProofs_Trench_Reference_theorem_113 | 1 |
NaturalProofs_Trench_Reference_122_contents | NaturalProofs_Trench_Reference_theorem_117 | 1 |
NaturalProofs_Trench_Reference_121_contents | NaturalProofs_Trench_Reference_theorem_64 | 1 |
NaturalProofs_Trench_Reference_121_contents | NaturalProofs_Trench_Reference_theorem_283 | 1 |
NaturalProofs_Trench_Reference_121_contents | NaturalProofs_Trench_Reference_theorem_119 | 1 |
NaturalProofs_Trench_Reference_121_contents | NaturalProofs_Trench_Reference_definition_314 | 1 |
NaturalProofs_Trench_Reference_121_contents | NaturalProofs_Trench_Reference_theorem_63 | 1 |
NaturalProofs_Trench_Reference_128_contents | NaturalProofs_Trench_Reference_theorem_123 | 1 |
NaturalProofs_Trench_Reference_128_contents | NaturalProofs_Trench_Reference_theorem_106 | 1 |
NaturalProofs_Trench_Reference_128_contents | NaturalProofs_Trench_Reference_theorem_277 | 1 |
NaturalProofs_Trench_Reference_129_contents | NaturalProofs_Trench_Reference_theorem_128 | 1 |
NaturalProofs_Trench_Reference_130_contents | NaturalProofs_Trench_Reference_theorem_128 | 1 |
NaturalProofs_Trench_Reference_130_contents | NaturalProofs_Trench_Reference_theorem_127 | 1 |
NaturalProofs_Trench_Reference_135_contents | NaturalProofs_Trench_Reference_theorem_114 | 1 |
NaturalProofs_Trench_Reference_138_contents | NaturalProofs_Trench_Reference_theorem_252 | 1 |
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